Question

Q11. How many spheres of equal volume can be made with radius R/2 units each, if a hemisphere of radius R is melted?​

Answer 1

Answer:

see the given attachment

Answer 2

Answer:

R= 2r units

Step-by-step explanation:

Let the radius of hemisphere be R and radius of sphere be r

∵ volume of hemisphere = $\frac{2}{3}\pi\ r ^{3}$

also, volume of sphere = $\frac{4}{3}\pi \ r^{3}$

according to the question,

$\frac{2}{3}\pi\ r ^{3}$ = 4 ×  $\frac{4}{3}\pi \ r^{3}$

$R^{3}$ = 8$r^{3}$

∴ R = 2r units